Mobile rang in the middle of the speech which does infuriate (6)
I believe the answer is:
enrage
'infuriate' is the definition.
(I've seen this before)
'mobile rang in the middle of the speech' is the wordplay.
'mobile' indicates anagramming the letters.
'in' indicates putting letters inside.
'the middle of' says to take the centre.
The middle of 'speech' is 'ee'.
'rang' with letters rearranged gives 'nrag'.
'nrag' going into 'ee' is 'ENRAGE'.
'which does' acts as a link.
This may not be right. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for enrage that I've seen before include "Cause to see red" , "put people's back up" , "put in a stir?" , "Greatly annoy" , "Incense" .)